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Finding the Fourth Proportional to 5,714.76, 8,566.68 and 2,202.24

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Solution

The fourth proportional to 5,714.76, 8,566.68 and 2,202.24 is: 3,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.76 : 8,566.68 = 2,202.24 : x
  2. Step 2: Convert to fraction form
    5,714.76/8,566.68 = 2,202.24/x
  3. Step 3: Cross multiply
    5,714.76x = 8,566.68 × 2,202.24
  4. Step 4: Simplify right side
    5,714.76x = 18,865,885.36
  5. Step 5: Solve for x
    x = 18,865,885.36/5,714.76
  6. Step 6: Final answer
    x = 3,301.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.